Question

PLEASE HELP!!!!!

Which of the following is one of the standard forms of a hyperbola
centered at (h,k)?

Answer 1

Given:

Center of hyperbola is at (h,k).

To find:

The standard forms of a hyperbola.

Solution:

We know that, standard forms of a hyperbola are

1. For Horizontal hyperbola:

$\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1$

2. For Vertical hyperbola:

$\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1$

where, (h,k) is center of the hyperbola.

Therefore, the correct option is B.